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Find the domain and the range of the real function f defined by `f(x)=sqrt((x-1))`.A. Domain`=(1,oo),` Range `= (0,oo)`B. Domain`=[1,oo),` Range `= (0,oo)`C. Domain`=(1,oo),` Range `= [0,oo)`D. Domain`=[1,oo),` Range `= [0,oo)` |
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Answer» Correct Answer - D We have, `f(x)=sqrt(x-1)` f(x) is defined if, `x-1ge0`. `rArr xge1` `:.` Domain of `f=[1,oo)` Let f(x)=y `:. y=sqrt(x-1)` `rArr y^(2)=x-1` `:. x=y^(2)+1` x assumes real values for `y in R.` but `yge0` `:.` Range of `f=[0,oo)` |
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